SOLUTION: Deon drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Deon drove home, there was no traffic and the trip only took 4 h
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Question 1055070: Deon drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Deon drove home, there was no traffic and the trip only took 4 hours. If his average rate was 27 miles per hour faster on the trip home, how far away does Deon live from the mountains?
Do not do any rounding.
I really really need help! I have no understanding of what to do. Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = the one-way distance in miles to the mountains
Let = his speed going to the mountains = his speed coming back from the mountains
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Equation for going to mountains:
(1)
Equation for returning home:
(2)
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Substitute (1) into (2)
(2)
(2)
(2)
and
-------------------------
(1)
(1)
(1)
Deon lives 252 miles from the mountain
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check:
(2)
(2)
(2)
OK
